Isolated Singularities of Solutions of Quasilinear Anisotropic Elliptic Equations
We consider a wide class of degenerate quasilinear second order elliptic equations with model representative , whose solutions have singularity at a point. There are established sharp point-wise conditions for removable isolated singularity of solutions of such equations. For solutions with non-remo...
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| Published in | Advanced nonlinear studies Vol. 6; no. 4; pp. 617 - 641 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Advanced Nonlinear Studies, Inc
01.11.2006
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1536-1365 2169-0375 |
| DOI | 10.1515/ans-2006-0407 |
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| Abstract | We consider a wide class of degenerate quasilinear second order elliptic equations with model representative
, whose solutions have singularity at a point. There are established sharp point-wise conditions for removable isolated singularity of solutions of such equations. For solutions with non-removable point singularity (source type or fundamental solution), precise upper and lower estimates near the singularity point are obtained. |
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| AbstractList | We consider a wide class of degenerate quasilinear second order elliptic equations with model representative
, whose solutions have singularity at a point. There are established sharp point-wise conditions for removable isolated singularity of solutions of such equations. For solutions with non-removable point singularity (source type or fundamental solution), precise upper and lower estimates near the singularity point are obtained. |
| Author | Shishkov, Andrey E. Skrypnik, Igor I. Namlyeyeva, Yuliya V. |
| Author_xml | – sequence: 1 givenname: Yuliya V. surname: Namlyeyeva fullname: Namlyeyeva, Yuliya V. email: namleeva@iamm.ac.donetsk.ua organization: Institute of Applied Mathematics and Mechanics of NAS of Ukraine R. Luxemburg str. 74, 83114 Donetsk, Ukraine – sequence: 2 givenname: Andrey E. surname: Shishkov fullname: Shishkov, Andrey E. email: shishkov@iamm.ac.donetsk.ua organization: Institute of Applied Mathematics and Mechanics of NAS of Ukraine R. Luxemburg str. 74, 83114 Donetsk, Ukraine – sequence: 3 givenname: Igor I. surname: Skrypnik fullname: Skrypnik, Igor I. email: skrypnik@iamm.ac.donetsk.ua organization: Institute of Applied Mathematics and Mechanics of NAS of Ukraine R. Luxemburg str. 74, 83114 Donetsk, Ukraine |
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| References | Serrin (ref51) 1964 Veron (ref71) 1996 |
| References_xml | – start-page: 379 year: 1996 ident: ref71 article-title: Singularities of solution of second order quasilinear equations Notes in Math Series publication-title: Res – start-page: 111 year: 1964 ident: ref51 article-title: Local behaviour of solutions of quasilinear elliptic equations publication-title: Acta Math |
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| SubjectTerms | Degenerate quasilinear anisotropic elliptic equation point-wise estimates removable isolated singularity |
| Title | Isolated Singularities of Solutions of Quasilinear Anisotropic Elliptic Equations |
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